For each equation, a possible solution is given. Check to see if the given solution is correct.  

1. If $3x+7=x-1$, then does $x=-4$?

   Step 1 (a):

   Substitute the possible answer for $x$.

   $3(-4)+7=(-4)-1$

   Step 2 (a):

   If the numbers on both sides of the equation sign are the same once simplified, then the possible answer is correct.

   $-12+7=-5$
   $-5=-5$

   Answer (a):

   Yes

2. If $-2x-4=-4x+3$, then does $x=3$?

   Hint (b):

   Follow the steps in part (a).

   Answer (b):

   No

3. If $-3x+5+5x-1=0$, then does $x=2$?

   Hint (c):

   Follow the steps in part (a).

4. If $-(x-1)=4x-5-3x$, then does $x=3$?

   Hint (d):

   How does the negative in front of the parentheses change what is inside?

   More Help (d):

   Follow the steps in part (a).